摘要

We introduce a formal testing procedure to assess the fit of an inhomogeneous spatial Poisson process model, based on a discrepancy measure function Dc( t; theta) that is constructed from residuals obtained from the fitted model. We derive the asymptotic distributional properties of Dc( t; theta) and develop a test statistic based on them. Our test statistic has a limiting standard normal distribution, so that the test can be performed by simply comparing the test statistic with readily available critical values. We perform a simulation study to assess the performance of the proposed method and apply it to a real data example.

  • 出版日期2008-12